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## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
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##     filter, lag
## The following objects are masked from 'package:base':
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##     intersect, setdiff, setequal, union

Averages of Times at 5% Density

## Warning: Using an external vector in selections was deprecated in tidyselect 1.1.0.
## ℹ Please use `all_of()` or `any_of()` instead.
##   # Was:
##   data %>% select(y_col)
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##   # Now:
##   data %>% select(all_of(y_col))
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## See <https://tidyselect.r-lib.org/reference/faq-external-vector.html>.
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## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
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## Warning: `aes_string()` was deprecated in ggplot2 3.0.0.
## ℹ Please use tidy evaluation idioms with `aes()`.
## ℹ See also `vignette("ggplot2-in-packages")` for more information.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

### Averages of Times at 10% Density

Dual Plots Between 5% and 10% Density as a Ratio Over Eigen

## Warning: Using an external vector in selections was deprecated in tidyselect 1.1.0.
## ℹ Please use `all_of()` or `any_of()` instead.
##   # Was:
##   data %>% select(y_axis_variable)
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##   # Now:
##   data %>% select(all_of(y_axis_variable))
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## See <https://tidyselect.r-lib.org/reference/faq-external-vector.html>.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

Comparisons of IVCSC and VCSC Density as a Ratio Over Eigen

5% Dense

10% Dense